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14189328 = 2432211467
BaseRepresentation
bin110110001000…
…001100010000
3222200220002200
4312020030100
512113024303
61224043200
7231415206
oct66101420
928626080
1014189328
11801171a
124903500
132c2a66a
141c55076
1513a43a3
hexd88310

14189328 has 60 divisors (see below), whose sum is σ = 39984048. Its totient is φ = 4697280.

The previous prime is 14189317. The next prime is 14189341. The reversal of 14189328 is 82398141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 14189292 and 14189301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30151 + ... + 30617.

Almost surely, 214189328 is an apocalyptic number.

14189328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14189328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992024).

14189328 is an abundant number, since it is smaller than the sum of its proper divisors (25794720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14189328 is a wasteful number, since it uses less digits than its factorization.

14189328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 14189328 is about 3766.8724427567. The cubic root of 14189328 is about 242.0958116166.

The spelling of 14189328 in words is "fourteen million, one hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 467 633 844 934 1266 1401 1688 1868 1899 2532 2802 3376 3736 3798 4203 5064 5604 7472 7596 8406 10128 11208 15192 16812 22416 30384 33624 67248 98537 197074 295611 394148 591222 788296 886833 1182444 1576592 1773666 2364888 3547332 4729776 7094664 14189328